Questions: b) β̂ = 3x - 1° ω̂ = 11x + 17° β 90 (1)

To solve the given system of equations for \(\beta\) and \(\omega\), we need to substitute the value of \(x\) from one equation into the other. However, the problem statement seems incomplete or unclear. Assuming we need to solve for \(\beta\) when \(x = 90\):

1. Substitute \(x = 90\) into the equation for \(\hat{\beta}\).
2. Calculate the value of \(\hat{\beta}\).

Dada la ecuación para \(\hat{\beta}\): \[ \hat{\beta} = 3x - 1 \] Sustituimos \( x = 90 \): \[ \hat{\beta} = 3(90) - 1 \]

Realizamos la operación: \[ \hat{\beta} = 270 - 1 = 269 \]

\[ \boxed{\beta = 269} \]